Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Complex Variables Singularities

Let f(z) = \(\frac{\cot \pi z}{(z-a)^2}\) then which of the following is correct

1

z = 0 is a removal singularity

2

z = a is a simple pole

3

z = 0 is a pole of order 2

4

z = ∞ is non-isolated essential singularity

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